Finding the Third Proportional to 7,971.75 and 12,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,971.75 : 12,082.50 = 12,082.50 : x
2. Step 2: Convert to fraction form
   7,971.75/12,082.50 = 12,082.50/x
3. Step 3: Cross multiply
   7,971.75x = 12,082.50 × 12,082.50
4. Step 4: Simplify right side
   7,971.75x = 145,986,806.25
5. Step 5: Solve for x
   x = 145,986,806.25/7,971.75
6. Step 6: Final answer
   x = 18,313.02